11L 10s

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↖ 10L 9s↑ 11L 9s 12L 9s ↗
← 10L 10s11L 10s12L 10s →
↙ 10L 11s↓ 11L 11s 12L 11s ↘
 
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Scale structure
Step pattern LLsLsLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLsLsLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 19\21 to 10\11 (1085.7¢ to 1090.9¢)
Dark 1\11 to 2\21 (109.1¢ to 114.3¢)
TAMNAMS information
Descends from 1L 9s (antisinatonic)
Ancestor's step ratio range 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 10L 1s
Sister 10L 11s
Daughters 21L 11s, 11L 21s
Neutralized 1L 20s
2-Flought 32L 10s, 11L 31s
Equal tunings
Equalized (L:s = 1:1) 19\21 (1085.7¢)
Supersoft (L:s = 4:3) 67\74 (1086.5¢)
Soft (L:s = 3:2) 48\53 (1086.8¢)
Semisoft (L:s = 5:3) 77\85 (1087.1¢)
Basic (L:s = 2:1) 29\32 (1087.5¢)
Semihard (L:s = 5:2) 68\75 (1088.0¢)
Hard (L:s = 3:1) 39\43 (1088.4¢)
Superhard (L:s = 4:1) 49\54 (1088.9¢)
Collapsed (L:s = 1:0) 10\11 (1090.9¢)

11L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 10 small steps, repeating every octave. 11L 10s is a grandchild scale of 1L 9s, expanding it by 11 tones. Generators that produce this scale range from 1085.7¢ to 1090.9¢, or from 109.1¢ to 114.3¢.

Modes

Modes of 11L 10s
UDP Cyclic
Order		 Step
Pattern
20|0 1 LLsLsLsLsLsLsLsLsLsLs
19|1 20 LsLLsLsLsLsLsLsLsLsLs
18|2 18 LsLsLLsLsLsLsLsLsLsLs
17|3 16 LsLsLsLLsLsLsLsLsLsLs
16|4 14 LsLsLsLsLLsLsLsLsLsLs
15|5 12 LsLsLsLsLsLLsLsLsLsLs
14|6 10 LsLsLsLsLsLsLLsLsLsLs
13|7 8 LsLsLsLsLsLsLsLLsLsLs
12|8 6 LsLsLsLsLsLsLsLsLLsLs
11|9 4 LsLsLsLsLsLsLsLsLsLLs
10|10 2 LsLsLsLsLsLsLsLsLsLsL
9|11 21 sLLsLsLsLsLsLsLsLsLsL
8|12 19 sLsLLsLsLsLsLsLsLsLsL
7|13 17 sLsLsLLsLsLsLsLsLsLsL
6|14 15 sLsLsLsLLsLsLsLsLsLsL
5|15 13 sLsLsLsLsLLsLsLsLsLsL
4|16 11 sLsLsLsLsLsLLsLsLsLsL
3|17 9 sLsLsLsLsLsLsLLsLsLsL
2|18 7 sLsLsLsLsLsLsLsLLsLsL
1|19 5 sLsLsLsLsLsLsLsLsLLsL
0|20 3 sLsLsLsLsLsLsLsLsLsLL

Scale tree

Scale Tree and Tuning Spectrum of 11L 10s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
19\21 1085.714 114.286 1:1 1.000 Equalized 11L 10s
105\116 1086.207 113.793 6:5 1.200
86\95 1086.316 113.684 5:4 1.250
153\169 1086.391 113.609 9:7 1.286
67\74 1086.486 113.514 4:3 1.333 Supersoft 11L 10s
182\201 1086.567 113.433 11:8 1.375
115\127 1086.614 113.386 7:5 1.400
163\180 1086.667 113.333 10:7 1.429
48\53 1086.792 113.208 3:2 1.500 Soft 11L 10s
173\191 1086.911 113.089 11:7 1.571
125\138 1086.957 113.043 8:5 1.600
202\223 1086.996 113.004 13:8 1.625
77\85 1087.059 112.941 5:3 1.667 Semisoft 11L 10s
183\202 1087.129 112.871 12:7 1.714
106\117 1087.179 112.821 7:4 1.750
135\149 1087.248 112.752 9:5 1.800
29\32 1087.500 112.500 2:1 2.000 Basic 11L 10s
Scales with tunings softer than this are proper
126\139 1087.770 112.230 9:4 2.250
97\107 1087.850 112.150 7:3 2.333
165\182 1087.912 112.088 12:5 2.400
68\75 1088.000 112.000 5:2 2.500 Semihard 11L 10s
175\193 1088.083 111.917 13:5 2.600
107\118 1088.136 111.864 8:3 2.667
146\161 1088.199 111.801 11:4 2.750
39\43 1088.372 111.628 3:1 3.000 Hard 11L 10s
127\140 1088.571 111.429 10:3 3.333
88\97 1088.660 111.340 7:2 3.500
137\151 1088.742 111.258 11:3 3.667
49\54 1088.889 111.111 4:1 4.000 Superhard 11L 10s
108\119 1089.076 110.924 9:2 4.500
59\65 1089.231 110.769 5:1 5.000
69\76 1089.474 110.526 6:1 6.000
10\11 1090.909 109.091 1:0 → ∞ Collapsed 11L 10s
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